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Finding the Fourth Proportional to 48,643.50, 72,870.84 and 31,952.90

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Solution

The fourth proportional to 48,643.50, 72,870.84 and 31,952.90 is: 47,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.50 : 72,870.84 = 31,952.90 : x
  2. Step 2: Convert to fraction form
    48,643.50/72,870.84 = 31,952.90/x
  3. Step 3: Cross multiply
    48,643.50x = 72,870.84 × 31,952.90
  4. Step 4: Simplify right side
    48,643.50x = 2,328,434,299.08
  5. Step 5: Solve for x
    x = 2,328,434,299.08/48,643.50
  6. Step 6: Final answer
    x = 47,867.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.